We're dividing 725689 by 15 
We want to figure out the number of times 725689 can be divided by 15.

On to step 1:
15 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 15

On to step 2:
15 can be fit into 72 4 times, resulting in a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 60 from 72, we get 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 15

Moving on to step 3:
If we divide 125 by 15, we get 8 and a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 48.0
Subtract 120 from 125 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 15

Going ahead to step 4:
56 divided by 15 is 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 483.0
If we take 45 away from 56, we end up with 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 15

Let's proceed to step 5:
15 can be fit into 118 7 times, resulting in a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 4837.0
Subtract 105 from 118 to get 13.
Grab the next digit (9) from the dividend, add it to 13, then carry on: 139 / 15

Moving on to step 6:
The number 15 fits into 139 9 times, leaving a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 48379.0
If we subtract 135 from 139, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
15 goes into 40 2 times with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 48379.2
Subtracting 30 from 40 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
If we divide 100 by 15, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 48379.26
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 48379.266
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 48379.266 with a balance of 0.001.